J4

Previous Articles     Next Articles

The Central Limit Theorem for the Sum of Random Number of m-Dependent B-V alued Random Variables

TAN Xi-li1,2, YANG Xiao-yun1   

  1. 1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. Department of Mathematics, Normal Science College, Beihua University, Jilin 132013, China
  • Received:2003-01-16 Revised:1900-01-01 Online:2003-10-26 Published:2003-10-26
  • Contact: YANG Xiao-yun

Like

Abstract: The present paper deals with a sufficient condition of the central limit theorem for the sum of random number of m-dependent B -valued random variables, and presents the central limit theorem for the sum of random number when B is 2-type of space.

Key words: real random variable, m-dependent random element, the central limit theorem for the sum of random number, 2-type of space

CLC Number: 

  • O211.4
Copyright © Journal of Jilin University Science Edition, All Rights Reserved.
Tel: +86-431-88499428　E-mail: sejuj@jlu.edu.cn
Powered by Beijing Magtech Co. Ltd